Question

||x|-8|=5 ......................................................

Answer 1

Ответ:

((x)-8)=5

(x-8)=5

x=8+5

x=13

Answer 2

To solve the equation ||x| - 8| = 5, we need to consider two cases based on the absolute value expression.

Case 1: (x - 8) = 5 In this case, we remove the absolute value signs since the expression inside evaluates to a positive value: x - 8 = 5

Adding 8 to both sides of the equation: x = 5 + 8 x = 13

Case 2: -(x - 8) = 5 Here, we change the sign of the expression inside the absolute value since it evaluates to a negative value: -x + 8 = 5

Subtracting 8 from both sides of the equation: -x = 5 - 8 -x = -3

Multiplying both sides by -1 to isolate x: x = -3 * -1 x = 3

Therefore, the equation ||x| - 8| = 5 has two solutions: x = 13 and x = 3.